Godlovesme
  • Godlovesme
help pweaseee D: Andy has two similar conical hats, Hat A and Hat B. The diameter of Hat A is 18 inches, and the diameter of Hat B is 9 inches. What is the ratio of the volume of Hat A to the volume of Hat B? 2:1 16:1 4:1 8:1
Mathematics
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SOLVED
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katieb
  • katieb
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nuttyliaczar
  • nuttyliaczar
Volume of a cone is \[\pi*r ^{2}*h/3\]
nuttyliaczar
  • nuttyliaczar
And diameter is just 2r, so for hat A r=9 in and hat B r=4.5 in
Godlovesme
  • Godlovesme
im following :)

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nuttyliaczar
  • nuttyliaczar
Set up an equation that has volume on both sides like so: \[\pi*r _{A}^{2}*h/3=\pi*r _{B}^{2}*h/3\]
nuttyliaczar
  • nuttyliaczar
As you can see, the pi and h/3 will cancel out once you divide both sides by them. Then you are left with r^2 on each side for the respective cones.
nuttyliaczar
  • nuttyliaczar
And you can take it from there =P
Godlovesme
  • Godlovesme
ok one sec :D
Godlovesme
  • Godlovesme
so it would be.. \[9^2 = 4.5^2\] which will simplify to \[4:1\] ? :D
anonymous
  • anonymous
smarty pants :3
Godlovesme
  • Godlovesme
X'D
Godlovesme
  • Godlovesme
thanks guys :))
nuttyliaczar
  • nuttyliaczar
Yeah you got it!
nuttyliaczar
  • nuttyliaczar
Every ratio type problem can be handled this way
Godlovesme
  • Godlovesme
alright thank you so much :))
Godlovesme
  • Godlovesme
it wasnt 4:1 :( .. oh well thanks though :)
Godlovesme
  • Godlovesme
XDD
anonymous
  • anonymous
:O oha! how so?
nuttyliaczar
  • nuttyliaczar
Hmm is it not? Let me plug everything in myself
Godlovesme
  • Godlovesme
no idea @annas and @nuttyliaczar no worries its fine , unless u want to check it :3
nuttyliaczar
  • nuttyliaczar
I just checked and still got 4:1
Godlovesme
  • Godlovesme
i'll asj my teacher, thanks anyways :)
Godlovesme
  • Godlovesme
annas cookies *_*
nuttyliaczar
  • nuttyliaczar
Volume for A = pi*r^2*h/3 = 254.469*h/3 Volume for B = pi*r^2*h/3 = 63.617*h/3
nuttyliaczar
  • nuttyliaczar
Dividing them gives 4/1 so... I'm not sure why that was wrong
Godlovesme
  • Godlovesme
its ok i'll talk to my teacher :) thanks though i really appreciate ur help guys :)

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